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JEE Advanced 2020 Full Test 1 Paper 1
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© examsnet.com
Question : 18
Total: 54
A parallel square plate capacitor of side 'a' is connected to a cell of emf 3 volt. A dielectric of mass
m
=
0.1
k
g
and dielectric constant 'K' initially completely fills the space between plate of parallel plate capacitor. The dielectric is connected to a solid cylinder of mass
m
=
0.1
k
g
through the string. Cylinder is pulled by a tangential force
F
=
1
N
and acting on top of cylinder. The surface between cylinder and horizontal surface is enough rough to prevent slipping. The distance between plate is d. The graph between the current through the cell
V
.S time '
t
' is a straight line till dielectric leaves the capacitor. Find the slope of straight line
[
Given
E
0
a
(
K
−
1
)
d
=
1
9
]
Your Answer:
Validate
Solution:
Force on dielectric due to induced charge is
F
=
1
2
From Force and Torque equation on cylinder and dielectric The acceleration of dielectric will be
6
m
∕
s
2
I
=
E
0
a
(
K
−
1
)
E
d
v
d
I
d
t
=
E
0
a
(
K
−
1
)
E
d
d
v
d
t
=
2
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